Answer: Yes, all three are relatively prime

Step-by-step explanation:

Two integers x and y are relatively prime if gcd(x,y)=1

So,

gcd(64, 729)=1

gcd( 27, 31)=1

gcd( 45, 56) =1.

Add 8 to both sides (-5)

-8 is going to cancel out so it will get ride of -8 and it will only add -5

-5+8=3

then all you have left is x

so it would be x=3

Answer:

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 500 and the standard deviation is 100.

95% of the scores of students would fall within two standard deviations.

2 standard deviations = 2 × 100 = 200

500 - 200 = 300

500 + 200 = 700

Therefore, the probability that a randomly selected student math score is between 300 and 700 is

95%

**Answer:**

x=2

**Step-by-step explanation:**